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Find the roots of 2x2 + 5/3 x – 2 = 0 by the factorisation of the corresponding quadratic polynomial. |
Answer» Given, 2x2 + 5/3 x - 2 = 0 ⇒ 6x2 + 5x – 6 = 0 By splitting the middle term, ⇒ 6x2 + 9x - 4x – 6 = 0 Taking common in the expression, ⇒ 3x (2x + 3) – 2 (2x + 3) = 0 ⇒ (2x + 3) (3x - 2) = 0 ∴ 2x + 3 = 0 and ∴ 3x – 2 = 0 ∴ x = -3/2 and ∴ x = 2/3 |
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